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IMA Journal of Mathematical Control and Information 1988 5(2):117-123; doi:10.1093/imamci/5.2.117
© 1988 by Institute of Mathematics and its Applications
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On Stability Tests for Some Classes of Dynamical Systems with Perturbed Coefficients

T. MORI1 and S. BARNETT2

1Automation Research Laboratory, Kyoto University Gokasho, Uji, Kyoto 611, Japan
2School of Mathematical Sciences, University of Bradford Bradford, West Yorkshire, BD7 1DP, England

Several stability criteria are derived for some classes of feedback systems with perturbed coefficients. These are extensions of the circle criterion, Popov's theorem, and a delay-independent stability condition for time-delay systems. The approach relies on a crucial step in Kharitonov's proof on the stability of polynomials with interval coefficients.


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